On conjugate-permutable subgroups of a finite group | |
Xu, MY ; Zhang, QH | |
2005 | |
关键词 | conjugate-permutable subgroup ECP-group CCP-group nilpotent group minimal non-nilpotent group P-GROUPS |
英文摘要 | Let G be a finite group. A subgroup H of G is called conjugate-permutable in G if HHg = (HH)-H-g for any g E G. A group G is called an ECP-group if every subgroup of G is conjugate-permutable in G. In this paper, we study the influence of conjugate-permutable subgroups on the structure of a finite group, especially on the nilpotency or supersolvability of the group, and give some sufficient or necessary conditions for a finite group to be an ECP-group.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 4; ARTICLE; 4; 669-676; 12 |
语种 | 英语 |
出处 | SCI |
出版者 | algebra colloquium |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/399341] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Xu, MY,Zhang, QH. On conjugate-permutable subgroups of a finite group. 2005-01-01. |
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